Student A spent $9 on a bottle of school glue, a package of colored pencils, and a pencil pouch. Student B
spent $16 on two bottles of school glue, three packages of colored pencils, and a pencil pouch. Student C
spent $17 on a bottle of school glue, two packages of colored pencils, and two pencil pouches.
1. Which augmented matrix best represents the system of linear equations that could be used to
determine the price of each item?
Answer:
Step-by-step explanation:
...
[tex]\left[\begin{array}{ccc}1&1&1\\2&3&1\\1&2&2\end{array}\right] \left[\begin{array}{ccc}G\\C\\P\end{array}\right] =\left[\begin{array}{ccc}9\\16\\17\end{array}\right][/tex] is augmented matrix best represents the system of linear equations that could be used to determine the price of each item
What is Matrix?a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
Student A spent $9 on a bottle of school glue, a package of colored pencils, and a pencil pouch.
Let bottle of school glue=G
a package of colored pencils=C
pencil pouch=P
G+C+P=9
Student B
spent $16 on two bottles of school glue, three packages of colored pencils, and a pencil pouch.
2G+3C+P=16
Student C
spent $17 on a bottle of school glue, two packages of colored pencils, and two pencil pouches.
G+2C+2P=17
[tex]\left[\begin{array}{ccc}1&1&1\\2&3&1\\1&2&2\end{array}\right] \left[\begin{array}{ccc}G\\C\\P\end{array}\right] =\left[\begin{array}{ccc}9\\16\\17\end{array}\right][/tex]
is used to determine the price of each item
Hence [tex]\left[\begin{array}{ccc}1&1&1\\2&3&1\\1&2&2\end{array}\right] \left[\begin{array}{ccc}G\\C\\P\end{array}\right] =\left[\begin{array}{ccc}9\\16\\17\end{array}\right][/tex] is augmented matrix best represents the system of linear equations that could be used to determine the price of each item
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Determine if the triangles are congruent. If they are, state how you know.
Answer:
SAS
Step-by-step explanation:
If you flip the first triangle right side up, we can see that they are congruent in the same exact spots. The two sides are congruent, as well as the angle.
Answer:
They are congurrent by SAS criterion. SAS stands for side-angle-side where the angle is in between the 2 lines. In this we can see that 2 lines have been marked as well as the angle in both triangles. SAS is a valid criterion for proving congrurency and therefore these are congurent.
Really hard to explain through typing but hopes this helped
Step-by-step explanation:
Jasmine’s grandma gave her $7 to spend at a yogurt stand. The frozen yogurt and toppings cost $0.45 per ounce. She also wants to buy a bottle of water for $2.50. How many x-ounces of yogurt and toppings can Jasmine afford?
Answer:
Jasmine can afford 10 ounces of yogurt and toppings.
Step-by-step explanation:
$7 - $2.50 bottle of water
= $4.50
$4.50 divided by $0.45
= 10 ounces
I subtract 14 from a
certain number. I multiply
the result by 3. The final
answer is 3 What was the
number
Answer:
x = 15
Step-by-step explanation:
Let the number be x.
(x - 14) x 3 = 3
3x - 42 = 3
3x = 45
x = 15
This is a question on forming and solving an algebraic equation. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
The unknown number could be 15.
What is the fundamental principle of multiplication?If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given; I subtract 14 from a certain number. I multiply the result by 3. The final answer is 3 .
Let the unknown number be x.
(x - 14) x 3 = 3
3x - 42 = 3
3x = 45
x = 15
Hence, the unknown number could be 15.
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Grace jump 66 times a minute. Zoe jumps 56 times a minute. They both Count Their jumps today and together they jump 1266 times in the total of 21 minutes how long did each girl jump
Answer:
Grace jumped for 9 minutes and Zoe jumped for 12 minutes
Step-by-step explanation:
Let Grace jumped for x minutes and Zoe jumped for y minutes
Grace jump no. of times in 1 minute = 66
Grace jump no. of times in x minutes = 66x
Zoe jump no. of times in 1 minute = 56
Zoe jump no. of times in x minutes = 56x
We are given that Their jumps today and together they jump 1266 times in the total of 21 minutes
So, x+y=21 ----1
66x+56y=1266 ---2
Substitute the value of x from 1 in 2
66(21-y)+56y=1266
y=12
x+y=21
x+12=21
x=21-12
x=9
Hence Grace jumped for 9 minutes and Zoe jumped for 12 minutes
Answer:
Grace jumped for 9 minutes and Zoe jumped for 12 minutes
Step-by-step explanation:
f(x) = 9x^3 + 2x^2 - 5x + 4 and g(x) = 5x^3 - 7x + 4
What is f(x) - g(x)? Show all of your steps and write final answer in factored form.
Step-by-step explanation:
f(x) - g(x)
9x³+2x²-5x+4 - (5x³-7x+4)
9x³+2x²-5x+4 - 5x³+7x-4
4x³+2x²+2x
2x(2x²+x+1)
HELP ME OUT PLS AND TY
Answer:
No, the line does not pass (0,0).
No, the line does not pass (0,0)
Brainliest Appreciated!
Answer:
NoNoI hope this helps!
Kim earns $48 washing 8 dogs. At this rate, how much does Kim earn washing 7 dogs?
Answer:42 dollars
Step-by-step explanation:
Answer:
42 dollars
Step-by-step ex
HELPPPP!!!!! MATH!!!! PLZ!!!!!
Answer:
Y=5x
Step-by-step explanation:
Y=mx+b, or y=rise/run+starting value
as there is no starting value, we would simply add no variable
rise/run in this equation would 5/1 because when it rises 5, it goes right 1, simplifying that would be 5
Answer:
For each x, the y increases by 10 so ur equation will be y= 5x
Step-by-step explanation:
What will the first step look like in a substitution problem?
y=2x
x+y=9
Answer:
x + 2x = 9
General Formulas and Concepts:
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Since we are using substitution, we must replace one variable in 1 equation as the 2nd equation.
We are given:
y = 2x
x + y = 9
Here we see that y equals 2x. We can go ahead and replace in the 2nd equation y.
x + 2x = 9
And we would solve from there.
PLEASE HELP!!!!! 1.) Line a passes through points (-2, 1) and (2, 9). Write an equation in slope intercept form that is parallel to line a. 40POINTS
Answer:
y=2x
Step-by-step explanation:
compute the slope first-
(-2,1) and (2,9)
m = 9-1/2-(-2) = 8/2+2= 8/4 = 2
knowing the slope take a given point and substitute it's x and y values into the equation to solve for 'b' the y-intercept-
y = mx + b,
1 = 2(-2) + b,
1 = -4+ b,
b = 5
our equation is y = 2x + 5
if you want an equation parallel to the line it has to have the same slope. Take y = 2x
Answer: y=2x+5
Step-by-step explanation:
To find line a in slope-intercept form, we first want to find the slope. The formula for slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{9-1}{2-(-2)} =\frac{8}{4}=2[/tex]
Now that we know the slope, we can plug in any point to find the y-intercept.
y=2x+b [plug in any point]
9=2(2)+b [multiply]
9=4+b [subtract both sides by 4]
b=5
The final equation is y=2x+5.
1. True False 3(2 + 4) = 3 x 2 + 4
2. True False 6(10 + 5) = 6 x 10 + 6 x 5
3. True False 7(20 + 8) = 7 + 20 x 8
4. True False 4(5 + 10) = 20 + 10 5. True False 2(6 + 11) = 12 + 22
Answer:
1. False
2. True
3. False
4. True
5. True
Answer:
Step-by-step explanation:
1. Fasle
2. True
3. False
Which of the following is the equation that represents the line in the graph below? A- x=3y, B- x=3, C- y=3, D- y=3x
Answer:
d
Step-by-step explanation:
If you take a number, multiply it by 3, then add 2, you could represent that phrase with the function:
y=3x + 2. How could you describe this function with words: y=(x+2)/7?*
Answer: take a number, add 2, and divide it all by 7.
Step-by-step explanation:
Brainliest plz!
Answer:
Yes and for the second one it will be a number plus two and divide both factors by seven
Step-by-step explanation:
A tanning salon opens with 50 members. Each month the membership increases by 10 members. Write an equation that represents the relationship between the number of months the salon has been opened, x, and the total salon memberships, y?
Answer:
y= 10x+50
Step-by-step explanation:
x is an increasing variable so, if 10 members are joining each month, x equals 10. 50 is a non increasing number so it has no variable. and y equals all members in total, so y= 10x+50
Of the 200 students in the school, 79% can play an instrument. How many students cannot play
an instrument?
S is the centroid of triangle NQL.
Q What is the length of NR?
P
N
4 units
In - 12
8 units
3n
36 units
S
R
48 units
M M
L
Answer:
The answer is 36 units.
Step-by-step explanation:
Got it correct on edg
Order −0.8, 2 3 , 1, −1 3 from least to greatest.
Answer:
-13, -1, -0.8, 1, 23
Step-by-step explanation:
Answer:
A or -0.8,-1/3, 2/3, 1
Step-by-step explanation
on edge 2020
Using the attached graph, find g−1(20) =
A. 4.0
B. 8
C. 4.2
D. 10
Solve x^2 = 196 and c^3 = 216.
A) x = 14; c = −6
B) x = ±14; c = 6
C) x = ±14; c = ±6
D) x = ±14; no solution for c
If f(x) = 5x - 12, find f(x) when x= - 12
Plz answer
Answer:
-72
Step-by-step explanation:
first replace x with -12 so 5(-12)-12
then simplify which makes it -60-12
finally solve that which gives you -72
hope this helps :)
What is the discriminant of 3x^2+5x-1=0
Answer:
The discriminant is 37
y=2x+6, 3y=x-2 solve for unknown variables
Step: Solvey=2x+6for y:
y=2x+6
Step: Substitute2x+6foryin3y=x−2:
3y=x−2
3(2x+6)=x−2
6x+18=x−2(Simplify both sides of the equation)
6x+18+−x=x−2+−x(Add -x to both sides)
5x+18=−2
5x+18+−18=−2+−18(Add -18 to both sides)
5x=−20
5x/5=−20/5
(Divide both sides by 5)
x=−4
Step: Substitute−4forxiny=2x+6:
y=2x+6
y=(2)(−4)+6
y=−2(Simplify both sides of the equation)
Answer:
x=−4 and y=−2
I hope it helps you
Select all ratios that are in their simplest form.
A 25:24
B 19:24
C 23:24
D 11:16
E 27:18
Answer:
The ratios in their simplest form are:
A 25:24
B 19:24
C 23:24
D 11:16
Step-by-step explanation:
The ratios are in their simplest form are the ratios that cannot be simplified further.
We will check all the ratios one by one
A 25:24
Cannot be further simplified so it is in the simplest form
B 19:24
Cannot be simplified further.
C 23:24
Cannot be simplified further
D 11:16
Cannot be simplified further
E 27:18
[tex]27:18\\3:2[/tex]
Further simplified, so it was not in simplest form.
Hence,
The ratios in their simplest form are:
A 25:24
B 19:24
C 23:24
D 11:16
Thomas earns extra money babysitting. He charges 45.50 for 5 hours and 72.80 for 8 hours. How much will thomas charge for 3 hours.
giving brainly
what is the equation of the line in slope intercept form
Answer:
y=-4/3x-60
Step-by-step explanation:
Answer:
y=-4/3x-60
Step-by-step explanation:
The line intercepts -60 and the slope by using a slope triangle, for y it was from -20 to 20 so 40 units difference, and for x it was -30 to -60 so 30 unit difference. 40/-30 simplified = -4/3
FACTORIZE
A(X)=(x+2)^2(-x+2)(2x-1)
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Reflect the point (4, —1) in (a) the x-axis and (b) the y-axis.
The coordinates of reflected points are:
(a) (4, 1)
(b) (-4, -1)
Use the concept of coordinate points defined as:
A pair of numbers that describe the exact position of a point on a cartesian plane by using horizontal and vertical lines are called the coordinates.
The given points are
(4, -1)
The objective is to find the point of reflection:
(a) Along the X-axis
(b) Along the Y-axis
(a) The reflection along the X-axis,
For the point (4, -1)
x coordinate is 4
y coordinate is -1
Keep the x coordinate the same and take the negative of the y coordinate.
Therefore,
The negative of y coordinate is -(-1) = 1
Hence,
The reflection of the point along x-axis is (4, 1).
(b) The reflection along the Y-axis:
Keep the y coordinate the same and take the negative of the x coordinate.
Therefore,
The negative of x coordinate is -(4) = -4
Hence,
The reflection of the point along y-axis is (-4, -1).
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What is the formula of area of a quadrant?
Answer:
that is, pi (π) multiplied by the radius squared (r2). Now, to calculate the area of a quadrant, divide the area of a circle by 4 (as four quadrants make a circle). We get, Area of a quadrant, A= (πr2)/4 Square units.
A diver swims 5.875 feet up to the surface of the water. Which number represents the diver's position in relation to the surface before swimming to the top? -5.9 feet Negative 5 and three-fourthsfeet -58 feet Negative 5 and StartFraction 7 over 8 EndFractionfeet
Answer:
Negative 5 and 7 over 8Step-by-step explanation:
do NOT listen to the other guy.Answer:
Negative 5 and 7 over 8
Step-by-step explanation:
5.875 look at this: 5 "5".87" 5" || and '5.8"7"5' 7 || over '5."8"75 8', you don't need to write the other five 5.87"5" because it is in the beginning of the number/ whole number "5".875